Jim this is wrong thinking!
Ground rods do not have enough impedance to earth to ever carry fault current, NEVER!
Ohms law will show us that even if you get a 25 ohm resistance to earth, at 120 volts would only give you 4.8 amps of fault current to the ground rod! thats it. that would not even open a 5 amp fuse much less a 15 or 20 and certainly not a 40 or 50 amp breaker.
Even the service ground rod wont do this, or is it intended to do this. The only intention in the code for a ground rod is to help limit the voltage in a case where the high primary voltage were to come into contact with the secondary conductors, and at best the rod would be very limited in this case. the other reason the code mentions is for lightning protection, but let me tell ya, one or two rods don't work there either. thats why I don't like the false sense of security people think they have using rods as an electrode, systems above 600 volts they work fine but below they do little to nothing.